Express the Product as a Sum Containing Only Sines or Cosines

question 223

Multiple Choice

Express the product as a sum containing only sines or cosines.
- $\sin ( 4 \theta ) \cos ( 2 \theta )$

• A) \(\sin \cos \left( 8 \theta ^ { 2 } \right)\)
• B) \(\frac { 1 } { 2 } [ \sin ( 6 \theta ) + \sin ( 2 \theta ) ]\)
• C) \(\frac { 1 } { 2 } [ \sin ( 6 \theta ) + \cos ( 2 \theta ) ]\)
• D) \(\frac { 1 } { 2 } [ \cos ( 6 \theta ) - \cos ( 2 \theta ) ]\)

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Definitions:

Diagnostic Criteria

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Dimensional

Relating to or involving dimensions, often in reference to measurements or the aspect of size, length, width, and depth.

Categorical

Related to or involving categories or classifications, often used in describing data that can be divided into specific groups.

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Brain injuries characterized by temporary loss of brain function, often caused by a blow to the head.